Find the solution of the system of equations.minus, 2, x, plus, 4, y, equals, minus, 4−2x+4y=−46, x, plus, 6, y, equals, minus, 246x+6y=−24
Question
Find the solution of the system of equations.minus, 2, x, plus, 4, y, equals, minus, 4−2x+4y=−46, x, plus, 6, y, equals, minus, 246x+6y=−24
Solution
The system of equations is:
-2x + 4y = -4 6x + 6y = -24
First, let's simplify the equations. Divide the second equation by 6:
x + y = -4
Now we have:
-2x + 4y = -4 x + y = -4
Let's solve the system by substitution or elimination. I'll use substitution:
From the second equation, we can express x in terms of y:
x = -4 - y
Substitute x in the first equation:
-2(-4 - y) + 4y = -4 8 + 2y + 4y = -4 6y + 8 = -4 6y = -12 y = -2
Substitute y = -2 in the equation x = -4 - y:
x = -4 - (-2) x = -2
So, the solution to the system of equations is x = -2, y = -2.
Similar Questions
Find the solution of the system of equations.minus, 6, x, plus, 5, y, equals, 34−6x+5y=34minus, 6, x, minus, 10, y, equals, 4−6x−10y=4
Solve the system of equations 2, x, minus, 2, y, equals, minus, 42x−2y=−4 and minus, 4, x, minus, 3, y, equals, minus, 27−4x−3y=−27 by combining the equations.
Find the solution of the system of equations.8, x, plus, 4, y, equals, minus, 248x+4y=−24minus, 5, x, plus, 4, y, equals, minus, 11−5x+4y=−11
Solve the system of equations minus, 2, x, minus, y, equals, minus, 5−2x−y=−5 and 3, x, minus, 4, y, equals, minus, 423x−4y=−42 by combining the equations.
Find the solution of the system of equations.minus, x, minus, 3, y, equals, minus, 3−x−3y=−3x, minus, 6, y, equals, minus, 24x−6y=−24
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.